106415320 has 64 divisors (see below), whose sum is σ = 262310400. Its totient is φ = 38532480.

The previous prime is 106415303. The next prime is 106415329. The reversal of 106415320 is 23514601.

It is a super-2 number, since 2×106415320² = 22648440661404800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 106415291 and 106415300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106415329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161151 + ... + 161809.

It is an arithmetic number, because the mean of its divisors is an integer number (4098600).

Almost surely, 2^106415320 is an apocalyptic number.

106415320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106415320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131155200).

106415320 is an abundant number, since it is smaller than the sum of its proper divisors (155895080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106415320 is a wasteful number, since it uses less digits than its factorization.

106415320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 106415320 is about 10315.7801450012. The cubic root of 106415320 is about 473.8796420959.

Adding to 106415320 its reverse (23514601), we get a palindrome (129929921).

It can be divided in two parts, 10641 and 5320, that multiplied together give a triangular number (56610120 = T₁₀₆₄₀).

The spelling of 106415320 in words is "one hundred six million, four hundred fifteen thousand, three hundred twenty".